辐射改进Hargreaves-Trajkovic模型估算淮北平原参考作物蒸散量

    Consideration of radiation for improving the Hargreaves-Trajkovic model to calculate reference crop evapotranspiration in Huaibei Plain

    • 摘要: 为提高Hargreaves-Trajkovic(H-T)模型对参考作物蒸散量(reference crop evapotranspiration,ET0)在湿润半湿润区的计算精度,基于安徽省淮北平原区1980—2023年20个气象站点逐日气象数据,提出了一种融合物理先验与数据驱动的改进方法,构建了分层贝叶斯季节性参数模型,精确捕捉辐射的年变化规律对H-T模型进行改进,并以 Penman-Monteith(PM)模型为标准,对其在淮北平原区的适用性进行评价。结果表明:1)H-T改进模型与PM模型ET0计算结果变化趋势基本一致,且模型性能显著优于已有的基于辐射改进模型;2)H-T改进后模型相比H-T模型RMSE均值降低0.31 mm/d,R2由0.834提升至0.924,同时模型成功保持在简化计算架构下达成精度与实用性的协同优化;3)与原H-T模型相比,H-T改进模型在3个区域计算的ET0日值平均绝对误差分别由0.32、0.39、0.36 mm/d下降到0.16、0.15、0.14 mm/d,且3个区域ET0日值R2分别由0.971、0.974、0.974提升至0.977、0.981、0.983,说明拟合效果与计算精度均有提高,3个区域ET0月值平均绝对误差分别由0.34、0.40、0.37 mm/d下降到0.07、0.07、0.07 mm/d,月值R2分别由0.948、0.957、0.953提升至0.973、0.976、0.975,精度与拟合效果均有提升。总体上,H-T改进模型精度提高水平呈整体高、西北部中部局部相对较低的情况,全年精度提升最高可达86.1%,有近80%区域精度提升在50%以上,四季中冬季的精度提升最明显,最高可达93.7%,因此H-T改进模型可作为淮北平原ET0计算的简化模型。研究保留物理可解释性的同时,极大提升了计算精度,其性能显著优于原H-T模型及常规贝叶斯改进模型,为解决经验公式的区域适应性问题提供了一种普适性强的方法,为实现精准灌溉和区域水资源管理提供可靠依据,

       

      Abstract: Accurately estimating reference crop evapotranspiration (ET0) is critical for irrigation planning and water resource management. While the Penman-Monteith (P-M) model is the FAO-recommended standard, its data-intensive requirements limit its application in regions with sparse meteorological stations. The Hargreaves–Trajkovic (H–T) model, requiring only temperature data, offers a practical alternative but exhibits significant errors in humid and sub-humid climates due to its simplified representation of solar radiation dynamics. This study aims to enhance the calculation accuracy of the H–T model for such regions by integrating physical principles with data-driven calibration.We propose an improved methodology centered on a hierarchical Bayesian seasonal parameter model. This model innovatively refines the H–T formula by incorporating prior physical knowledge of solar radiation patterns. It dynamically calibrates key model parameters to capture their intrinsic annual cyclical variations, thereby achieving a more physically consistent and locally adapted estimation of the radiation term. The method was developed and validated using comprehensive daily meteorological data (1980-2023) from 20 weather stations across the Huaibei Plain in Anhui Province, a representative humid-subhumid area. Model performance was rigorously evaluated against the P-M model as the benchmark, employing multiple statistical metrics including the Root Mean Square Error (RMSE), coefficient of determination (R2), and Mean Absolute Error (MAE) at daily, monthly, and seasonal scales.The results demonstrate a substantial improvement in ET0 estimation. First, the improved H–T model successfully replicates the long-term trend of ET0 calculated by the P-M model, with performance significantly surpassing that of existing radiation-based simplified models. Second, at the regional level, the improved model reduces the mean RMSE by 0.31 mm/d and increases the R2 from 0.834 to 0.924 compared to the original H–T model, all while maintaining a simple and practical computational structure. Third, a detailed spatial and temporal analysis reveals consistent gains. For daily ET0 in three subregions, the MAE decreased from 0.32, 0.39, and 0.36 mm/d to 0.16, 0.15, and 0.14 mm/d, respectively, while the daily R2 increased correspondingly. For monthly ET0, accuracy gains were even more pronounced, with MAE reductions to approximately 0.07 mm/d across subregions and monthly R2 values exceeding 0.97. Spatially, the accuracy improvement was high across most of the region, with nearly 80% of the area achieving an improvement rate exceeding 50% and a maximum annual improvement of 86.1%. Seasonally, the most significant enhancement was observed in winter, with a maximum accuracy improvement of up to 93.7%.In conclusion, the improved H–T model, driven by the hierarchical Bayesian seasonal parameter framework, effectively balances computational simplicity with high accuracy. It provides a reliable, data-efficient tool for ET0 estimation in the Huaibei Plain and offers a transferable methodological framework for improving temperature-based ET0 models in other humid and sub-humid regions where full meteorological datasets are unavailable.

       

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